Definition 3.4 [1]} A tensor \(\mathcal {A}= (a_{i_1 i_2 ... i_m}) \in T_{m,n} \)  is said to be a positive definite (positive semidefinite) tensor, if \(\mathcal {A}x^m > (\ge )0 \)  for all \(x\in \mathbb {R}^n \backslash \lbrace 0\rbrace \) . Furthermore if \(\mathcal {A}\in S_{m,n}\)  and \(\mathcal {A}x^m > (\ge )0 \)  for all \(x\in \mathbb {R}^n \backslash \lbrace 0\rbrace \)  then \(\mathcal {A}\)  is said to be a symmetric positive definite (positive semidefinite) tensor.

